In this exercise we have to use the knowledge of triangles to calculate the value of the third side, so we have:
[tex]7
organizing the information given in the statement we find that:
a=6 b=13 c=xRecognition of the Pythagorean theorem we have that will be:
[tex]c
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p(3,5) and q(7,-1) are the end points of a diameter of a circle. what is the length of a radius of the circle
2.4.5 journal: graphs of exponential functions
The distance between major cracks in a highway follows an exponential distribution with a mean of four miles. (a) what is the standard deviation of the distance between two major cracks
Tom was saving $3000 for a trip. He initially deposited $200 in a savings account and then deposited a fixed amount every month in the account for the next 5 months. Then he received a check in the mail. The check was three times as much as the total amount he had saved so far. When he deposited the check in his savings account, he had $200 more than he needed. What was the fixed amount he deposited in the savings account during the 5 months?
The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?
The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?
25%
a skateboard that cost $53 was put on sale for 25% discount. What was the sale price of the skateboard?
51 divided by 3 is k
51 divided by 3 is k, the value of k is 17.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
51 divided by 3 is k
51/3=k
17=k
Therefore, by algebra the answer will be 17
More about the Algebra link is given below.
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Two people taking the test are chosen at random. what is the probability that at least one of them scores more than 500 points?
A _____ is a function that assigns a numerical value to every possible outcome in a sample space.
I don't know what this is help
When filled, a particular round balloon has a diameter of 14 inches. What is the approximate volume of air needed to fill this balloon?
Answer:
the answer is 1,437
Step-by-step explanation:
67 ,73 ,77,82,86,,86,91,98 find the median
HELP 50 POINTS! What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.
The explanation can be given down in details . Using this information
are the key features needed to graph a polynomial function and to find these key features to sketch a rough graph of a polynomial function.
To graph a polynomial function, you need to identify and understand its key features, which include:
Degree: The highest power of the variable in the polynomial determines its degree. For example, a polynomial of degree 3 would have terms like [tex]ax^{3} +bx^{2} +cx+d.[/tex] The degree influences the behavior of the polynomial, such as whether its ends point up or down.
Leading Coefficient: The coefficient of the term with the highest power of the variable. It influences the end behavior of the polynomial, determining whether the graph rises to the left and rises to the right or falls to the left and falls to the right.
Roots (Zeros): These are the values of [tex]x[/tex] for which the polynomial evaluates to zero. They are the points where the graph crosses the [tex]x[/tex]-axis.
Turning Points: Points where the graph changes direction. These occur at local maxima or minima and can be found by setting the derivative of the polynomial equal to zero and solving for [tex]x[/tex].
To sketch a rough graph of a polynomial function, follow these steps:
Determine the Degree and Leading Coefficient: Identify the highest power of the variable and the coefficient of that term.
Find the Roots (Zeros): Set the polynomial equal to zero and solve for
[tex]x[/tex]. These are the points where the graph intersects the x-axis.
Identify Turning Points: Find the critical points by taking the derivative of the polynomial, setting it equal to zero, and solving for
[tex]x[/tex]. Then, use the second derivative test or analyze the behavior of the function around these points to determine whether they are local maxima or minima.
Plot Key Points: Use the roots and turning points to plot key points on the graph.
Consider End Behavior: Determine whether the leading coefficient is positive or negative. If it's positive, the ends of the graph will point upwards; if it's negative, they will point downwards.
Sketch the Curve: Connect the plotted points smoothly, taking into account the behavior of the polynomial between the key points. Make sure to show any symmetry if present and adjust the curvature based on the behavior around turning points.
Optional: Use a Graphing Tool: If available, utilize graphing software or calculators to verify your sketch and refine it if necessary.
By following these steps, you can sketch a rough graph of a polynomial function and visualize its key features effectively.
COMPLETE QUESTION:
What are the key features needed to graph a polynomial function? Explain how to find these key features to sketch a rough graph of a polynomial function.
The contour plot of is shown below. determine if the given quantity in each part is positive, negative, or zero.
A builder is installing a fence on all sides of a backyard. The yard is 50ft long and 40 ft wide. How much fencing will the builder need?
<5 and <6 are complementary angles m<5=13 what is the measure of <6
X-2y=6 2x+4y=12 please help me with this question! Appreciated
Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations. |2x + 5| = 3 A. 2x + 5 = 3 and 2x + 5 = –3; {–1, –4} B. 2x + 5 = 3 and 2x + 5 = –3; {1, –4} C. 2x – 5 = 3 and 2x + 5 = –3; {–1, 4} D. 2x – 5 = 3 and 2x + 5 = –3; {–1, –4}
what is -10-6=?. Please I need an answer and it's my grade
solve the system x+3y=2 x+y=2
Huey works 175 hours each month and earns $14.25 per hour after taxes. His monthly budget is shown. How much money is left over in his budget for unplanned expenses?
Answer:
Nothing will be left over.
Step-by-step explanation:
You need to multiply the 175 by 14.25 to get his total income each month.
Then you add all of the expenses of 1250, 200, 350, 400, 225, 300.
Huey earns 2,493.75 every month, and his expenses are 2,725.
2,493.75 - 2725 = a negative rational number
I ain't gonna do it, because he ain't got no money in his wallet.
(I don't talk like that above, I'm just pretending to be an official Texan.)
If he has negative money left over, I don't think he would spend some more tbh, so the answer would be nothing would be left over.
Hope this helps someone in the future!
A baseball team is recruiting a new pitcher. The recruiter wants to select a pitcher with the best strike out record. Which measure provides the best information to the recruiter? A. strike outs per inning pitched B. strike outs per inning C. strike outs per season D. strike outs per game played
Answer:
Step-by-step explanation: strike outs per inning pitched
factor 64a^2b^36-1
1. (8ab6 + 1)(8ab6 – 1)
2. (8ab18 – 1)
3. (8ab18 + 1)(8ab18 – 1)
4. (8ab6 – 1)
Helps with this math problem please
List 3 values that would make this inequality true 43 < y -30
Final answer:
To make the inequality 43 < y - 30 true, add 30 to both sides to get 73 < y. Any number greater than 73, such as 74, 80, or 90, will satisfy the inequality.
Explanation:
To find values that make the inequality 43 < y - 30 true, you simply need to add 30 to both sides of the inequality. This gives you:
73 < y
This means that any value greater than 73 will make the inequality true. Here are three examples:
y = 74 (since 74 is greater than 73)y = 80 (since 80 is greater than 73)y = 90 (since 90 is greater than 73)You can choose any three numbers greater than 73, and they will satisfy the inequality 43 < y - 30.
Ron is taking an inventory at his store. Based on previous sales, he predicted sales of 25 folders and 230 erasers. He actually sold 30 folders and 200 erasers. What is the percent error for the erasers?
Answer: There is 15% error for the erasers
Step-by-step explanation:
Since we have given that
Number of folders he predicted = 25
Number of erasers he predicted = 230
Total number of inventories he predicted is given by
[tex]230+25=255[/tex]
Number of erasers he actually sold = 200
Number of folders he actually sold = 30
Total number of inventories he actually sold is given by
[tex]200+30=230[/tex]
Error in estimation is given by
[tex]230-200=30[/tex]
Percentage of error for the erasers only
[tex]\frac{30}{200}\times 100\\\\=\frac{30}{2}\\\\=15\%[/tex]
Hence, there is 15% error for the erasers.
Answer:
15 %
Step-by-step explanation:
What is the cube root of 27a^12
Answer:
[tex]3a^{4}[/tex] .
Step-by-step explanation:
Given : [tex]27a^{12}[/tex]
To Find:The cube root of [tex]27a^{12}[/tex]
Solution:
We are supposed to solve [tex]\sqrt[3]{27a^{12}}[/tex]
So, [tex]\sqrt[3]{27a^{12}}[/tex]
[tex]\Rightarrow (27)^{\frac{1}{3}}(a^{12})^\frac{1}{3}[/tex]
[tex]\Rightarrow (3^3)^{\frac{1}{3}}(a^{4})[/tex]
[tex]\Rightarrow 3a^{4}[/tex]
Hence The cube root of [tex]27a^{12}[/tex] is [tex]3a^{4}[/tex] .
what is the value of x? |x|=16
Jill sold half of her comic books and then bought sixteen more. she now has 43. how many comic books did she begin with?
Answer: 54
Step-by-step explanation: 43-16=27 times 2 =54
Given two vectors a⃗ = 4.60 i^+ 7.20 j^ and b⃗ = 5.10 i^− 2.70 j^ , find the scalar product of the two vectors a⃗ and b⃗ .
In this exercise we have to use the knowledge of vectors to find the dot product between them, in this way we can say that:
[tex]|a|*|b|=42.9[/tex]
Knowing that it was stated by the text that the vectors have the value of :
[tex]a=<4.60,7.20>\\ b=<5.10,2.70> [/tex]
The scalar product, or the inner product, or the dot-product, is by summing the products of the respective directions, will be:
[tex]|a|*|b|=4.6*5.1+7.2*2.7\\ =23.46+19.44\\ =42.9 [/tex]
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